The Approximate Integrals by the Reproducing Kernel Method on the Elliptical Region E_n In the Space R^n
Authors:
Article info
2023-11-30
2024-02-27
None - None
Keywords
- Cubature Formula
- Integral Points.
- Algebraic Precision
- Orthonormal Polynomials
- Reproducing kernel method
Abstract
In this paper, we applied the reproducing kernel method on elliptical region, we establish the formulas of the reproducing kernel from several degrees and generalized those formulas whatever the dimension of space, we obtained all surfaces, points, and their constants for compensation in the cubature formula, tables are included to show our results and examples to show the approximation solution in this method.
Aslan, H., & Abbas, H. (2025). The Approximate Integrals by the Reproducing Kernel Method on the Elliptical Region E_n In the Space R^n. An-Najah University Journal for Research - A (Natural Sciences), 39(1). https://doi.org/10.35552/anujr.a.39.1.2230
[1]H. Aslan and H. Abbas, “The Approximate Integrals by the Reproducing Kernel Method on the Elliptical Region E_n In the Space R^n,” An-Najah University Journal for Research - A (Natural Sciences), vol. 39, no. 1, Feb. 2025, doi: 10.35552/anujr.a.39.1.2230.
Aslan, Hiba, and Hamed Abbas. “The Approximate Integrals by the Reproducing Kernel Method on the Elliptical Region E_n In the Space R^n.” An-Najah University Journal for Research - A (Natural Sciences), vol. 39, no. 1, Feb. 2025. Crossref, https://doi.org/10.35552/anujr.a.39.1.2230.
1.Aslan H, Abbas H. The Approximate Integrals by the Reproducing Kernel Method on the Elliptical Region E_n In the Space R^n. An-Najah University Journal for Research - A (Natural Sciences) [Internet]. 2025 Feb;39(1). Available from: http://dx.doi.org/10.35552/anujr.a.39.1.2230
Aslan, Hiba, and Hamed Abbas. “The Approximate Integrals by the Reproducing Kernel Method on the Elliptical Region E_n In the Space R^n.” An-Najah University Journal for Research - A (Natural Sciences) 39, no. 1 (February 2025). https://doi.org/10.35552/anujr.a.39.1.2230.
The Approximate Integrals by the Reproducing Kernel Method on the Elliptical Region E_n In the Space R^n
المؤلفون:
معلومات المقال
2023-11-30
2024-02-27
None - None
الكلمات الإفتتاحية
- Cubature Formula
- Integral Points.
- Algebraic Precision
- Orthonormal Polynomials
- Reproducing kernel method
الملخص
In this paper, we applied the reproducing kernel method on elliptical region, we establish the formulas of the reproducing kernel from several degrees and generalized those formulas whatever the dimension of space, we obtained all surfaces, points, and their constants for compensation in the cubature formula, tables are included to show our results and examples to show the approximation solution in this method.
Aslan, H., & Abbas, H. (2025). The Approximate Integrals by the Reproducing Kernel Method on the Elliptical Region E_n In the Space R^n. An-Najah University Journal for Research - A (Natural Sciences), 39(1). https://doi.org/10.35552/anujr.a.39.1.2230
[1]H. Aslan and H. Abbas, “The Approximate Integrals by the Reproducing Kernel Method on the Elliptical Region E_n In the Space R^n,” An-Najah University Journal for Research - A (Natural Sciences), vol. 39, no. 1, Feb. 2025, doi: 10.35552/anujr.a.39.1.2230.
Aslan, Hiba, and Hamed Abbas. “The Approximate Integrals by the Reproducing Kernel Method on the Elliptical Region E_n In the Space R^n.” An-Najah University Journal for Research - A (Natural Sciences), vol. 39, no. 1, Feb. 2025. Crossref, https://doi.org/10.35552/anujr.a.39.1.2230.
1.Aslan H, Abbas H. The Approximate Integrals by the Reproducing Kernel Method on the Elliptical Region E_n In the Space R^n. An-Najah University Journal for Research - A (Natural Sciences) [Internet]. 2025 Feb;39(1). Available from: http://dx.doi.org/10.35552/anujr.a.39.1.2230
Aslan, Hiba, and Hamed Abbas. “The Approximate Integrals by the Reproducing Kernel Method on the Elliptical Region E_n In the Space R^n.” An-Najah University Journal for Research - A (Natural Sciences) 39, no. 1 (February 2025). https://doi.org/10.35552/anujr.a.39.1.2230.
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